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A machine uses the rule output = 4 × input + 8. What is the output when the input is 5?
- 28
A sequence starts at 6 and increases by 7 each step. What is the 6th term?
- 41
The pattern is 1, 4, 7, 10, … . Which expression gives the nth term?
- 3n + -2
A number x is divided equally among 3 students. Each student gets 6. Which equation correctly represents the situation?
- x/3 = 6
Each packet has 2 stickers. There are x packets and 32 stickers altogether. Which equation correctly represents the situation?
- 2x = 32
A box has x marbles. After giving away 11, 4 marbles remain. Which equation correctly represents the situation?
- x - 11 = 4
Rina has x pencils and buys 7 more. Now she has 21 pencils. Which equation correctly represents the situation?
- x + 7 = 21
A bus fare is 8 taka per student. For x students, the total fare is 104 taka. Which equation correctly represents the situation?
- 8x = 104
Sam’s age is x. His brother is 3 years older and is 15 years old. Which equation correctly represents the situation?
- x + 3 = 15
A number x is divided equally among 5 students. Each student gets 11. Which equation correctly represents the situation?
- x/5 = 11
Each packet has 4 stickers. There are x packets and 40 stickers altogether. Which equation correctly represents the situation?
- 4x = 40
A box has x marbles. After giving away 4, 5 marbles remain. Which equation correctly represents the situation?
- x - 4 = 5
Rina has x pencils and buys 11 more. Now she has 19 pencils. Which equation correctly represents the situation?
- x + 11 = 19
A bus fare is 12 taka per student. For x students, the total fare is 84 taka. Which equation correctly represents the situation?
- 12x = 84
Sam’s age is x. His brother is 5 years older and is 11 years old. Which equation correctly represents the situation?
- x + 5 = 11
A number x is divided equally among 8 students. Each student gets 16. Which equation correctly represents the situation?
- x/8 = 16
Each packet has 6 stickers. There are x packets and 90 stickers altogether. Which equation correctly represents the situation?
- 6x = 90
A box has x marbles. After giving away 6, 8 marbles remain. Which equation correctly represents the situation?
- x - 6 = 8
For f(x)=log(x – 1) + 1/(x + 5), which conditions must be satisfied? Select all correct options.
- x ≠ -5
- x > 1
For f(x)=log(x – 8) + 1/(x + 3), which conditions must be satisfied? Select all correct options.
- x > 8
- x ≠ -3
